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Refining a chain theorem from matroids to internally 4-connected graphs Chanun Lewchalermvongs, Guoli Ding Graph theory and matroid theory are interconnected with matroids providing a way to generalize and analyze the structural and independence properties within graphs. Chain theorems, vital tools in both matroid and graph theory, enable the analysis of matroid structures associated with […]

Enhancing Signed Graph Attention Network by Graph Characteristics: An Analysis Panatda Kaewhit, Chanun Lewchalermvongs, Phakaporn Lewchalermvongs – A graph neural network (GNN) is one of successful methods for handling tasks on a graph data structure, e.g. node embedding, link prediction and node classification. GNNs focus on a graph data structure that must aggregate messages on

A game-theoretic approach for route planning on traveling by public transportation in the PM2.5 pollution: A case study in Bangkok Chanun Lewchalermvongs, Phakaporn Lewchalermvongs, Chettaporn Chuesuphan, Chutchawon Weeranukunjit, Chanon Boonkangwan, Montika Chaikittiporn, Patid Srikirinth, Tanaphoom Glinpatgij Extremely high levels of PM2.5 (particulate matter with a diameter of 2.5 micrometers or less) in Bangkok’s major areas

Maximizing vertex rescue: investigating the firefighter problem with edge subdivision Chutchawon Weeranukunjit, Chanun Lewchalermvongs The firefighter problem is a game played on a connected graph where a fire breaks out at a vertex. In each round, a firefighter chooses a vertex to protect, and the fire then spreads to all unprotected neighbors of the burning vertex.

A note on an analogue of Hadamard’s theorem for determining the radii of m-meromorphy Nattapong Bosuwan In this paper, we prove an extension of Hadamard’s classical theorem for determining the radius of mmeromorphyof an analytic function in terms of its Taylor coefficients. Our extension is expressed in terms of Fouriercoefficients with respect to an orthonormal

Determining the first radii of meromorphy via orthogonal polynomials on the unit circle Nattapong Bosuwan Applying a result concerning a convergence of modified orthogonal Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue of Hadamard’s theorem for determining the radius of 1-meromorphy of a function holomorphic on the closed unit

On exact rate of convergence of row sequences of multipoint Hermite-Padé approximants Nattapong Bosuwan In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Padé approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Padé approximants to

An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method Patcharee Dunnimit, Wannika. Sawangtong, Panumart Sawangtong The paper introduces a novel approach for solving the time-fractional Navier-Stokes (NS) equation utilizing the Katugampola fractional derivative expressed in the Caputo type and a method termed the Generalized Laplace Residual Power

An Approximate Analytic Solution for the Multidimensional Fractional-Order Time and Space Burger Equation Based on Caputo-Katugampola Derivative Wannika Sawangtong, Akpan N. Ikot, Panumart Sawangtong The (n+1)-dimensional space and time fractional-order Burger equation with Caputo-Katugampola derivative is tackled using the generalized Laplace homotopy perturbation procedure (GLHPM) to derive an approximate analytic solution. The coefficients of this

An Analysis of the Fractional-Order Option Pricing Problemvfor Two Assets by the Generalized Laplace Variational Iteration Approach Sivaporn Ampun, Panumart Sawangtong, and Wannika Sawangtong The Black–Scholes equation is a fundamental model in option pricing theory. This manuscript introduces a novel approach by formulating the classical Black–Scholes equation as a fractional-order equation using the generalized Riemann–Liouville